JEE Main & Advanced Sample Paper JEE Main - Mock Test - 44

  • question_answer
    Which of the following is a contradiction

    A) \[(p\wedge q)\wedge \tilde{\ }(p\vee q)\]

    B)     \[p\wedge (\tilde{\ }p\wedge q)\]

    C) \[(p\Rightarrow q)\Rightarrow p\]

    D)   None of these

    Correct Answer: A

    Solution :

    p q \[p\wedge q\] \[p\vee q\] \[\tilde{\ }(p\vee q)\] \[(p\wedge q)\wedge \tilde{\ }\]\[(p\vee q)\]
    T T T T F F
    T F F T F F
    F T F T F F
    F F F F T F
    \[\therefore \,\,(p\wedge q)\wedge (\tilde{\ }(p\vee q)\Rightarrow p\]is a contradiction.


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